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Assertion : The quantities (1sqrt(mu(0) ...

Assertion : The quantities `(1sqrt(mu_(0) epsilon_(0)))` is dimensionally equal to velocity and numericallyy equal of light.
Reason : `mu_(0)` is permeability of free space and `epsilon_(0)` is the permittivity of free space.

A

If both the asseration and reason are true and reason is a true explanation of the asseration.

B

If both the asseration and reason are true but the reason is not the correct explanation of asseration.

C

If the asseration is ture but reason is false.

D

If both the asseration and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
b
Both asertion and reason are true but reason is not the correct explanation of assertion
`[epsilon_(0)] = [M^(-1) L^(-3)T^(4)I^(2)] , [mu_(0)] = [MLT^(-2)I^(-2)]`
`rArr (1)/(sqrt((mu_(0)// 4 pi ) xx 4 pi epsilon_(0)))= sqrt(( 9 xx 10^(9))/(10^(-7))`
`= sqrt(9 xx 10^(16))`
`= 3 xx 10^(8)m//s`
Therefore `(1)/(sqrt(mu_(0)epsi_(0)))` has dimension of velocity and numerically equal of light.
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Assertion: the quantity (1//sqrt(mu_(0) epsilon_(0))) is dimensionally equal to velocity and numerical equal to velocity of light. Reason : mu_(0) is permeability of free space and epsilon_(0) is the permitivity of free space.

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